Finite Group Databasebeta

← Group #72267458

Character table — Group #72267458

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size1111111122222222444444444444444444444444444444444488888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444422224444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ171-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-11-1iiii−i−i−i−i1-11-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-11-1−i−i−i−iiiii1-11-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-111-1iiii−i−i−i−i1-1-11-1111-1-111-1-1-1-111-1-111ii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-111-1−i−i−i−iiiii1-1-11-1111-1-111-1-1-1-111-1-111−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-111-1iiii−i−i−i−i1-1-11-11-1-111-1-11111-1-111-1-1ii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-111-1−i−i−i−iiiii1-1-11-11-1-111-1-11111-1-111-1-1−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-11-1iiii−i−i−i−i1-11-11-1-1-111-1-111-1-111-1-111ii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241-1-111-1-1111-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-11-1−i−i−i−iiiii1-11-11-1-1-111-1-111-1-111-1-111−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-11-11iiii−i−i−i−i-111-1-1111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-11-11−i−i−i−iiiii-111-1-1111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11iiii−i−i−i−i-11-111-111-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11−i−i−i−iiiii-11-111-111-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-11iiii−i−i−i−i-11-111-1-1-11111-1-111-1-1-1-111−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-11−i−i−i−iiiii-11-111-1-1-11111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-11iiii−i−i−i−i-111-1-11-1-11111-1-1-1-11111-1-1−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-11−i−i−i−iiiii-111-1-11-1-11111-1-1-1-11111-1-1ii−i−iii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222222222222222222222222222222222222222-2-222222222222200000000-2-2-2-2000000000000000000000000-2-20000-2-200000000-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000-2-20000-2-200000000-2-20000222222220000000000000000000000000000
χ35222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-200000000-2-2-2-2000000000000000000000000-2-200002200000000220000-2-2-2-222220000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-2000000000000000000000000-2-2000022000000002200002222-2-2-2-20000000000000000000000000000
χ3722222222222222222-2-2-2-22-2-2222222220000000000000000-2-222-2-2-2-2000000002222222222-2-2222222220000000000000000-2-20000-2-20000000022000000000000-2-2-2-2-2-2-2-200000000000000000000
χ3822222222222222222-2-2-2-22-2-2222222220000000000000000-2-222-2-2-2-200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-20000-2-200000000220000000000002222222200000000000000000000
χ3922222222222222222-2-2-2-22-2-2222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-22200000000222222222222222222-2-2-2-22200000000-2-2-2-2-2-2000000000000000000000000000000000000
χ4022222222222222222-2-2-2-22-2-2222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-2-22222000000000000000000000000000000000000
χ4122222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222222000000002222-2-2-2-222-2-22222-2-2-2-20000000000000000-2-200002200000000-2-2000000000000-2-2-2-2222200000000000000000000
χ4222222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-20000000000000000-2-222222200000000-2-2-2-2222222-2-2-2-2-2-222220000000000000000-2-200002200000000-2-20000000000002222-2-2-2-200000000000000000000
χ4322222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000-2-2220000000022222222-2-2-2-2-2-2-2-222-2-222-2-20000000022-2-222000000000000000000000000000000000000
χ4422222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000-2-22200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000002222-2-2000000000000000000000000000000000000
χ4522222222-2-222-2-222-222-2-2-22-20000000000000000222222222-22-200000000-2-2-2-2000022222-22-20000-2-2-2-222-2-222-2-2000000002-22200000000000000-2-20000002-22-200002-22-200000000000000000000
χ4622222222-2-222-2-222-222-2-2-22-20000000000000000222222222-22-200000000-2-2-2-20000-2-2-2-22-22-200002222-2-222-2-222000000002-2-2-200000000000000220000002-22-20000-22-2200000000000000000000
χ4722222222-2-222-2-222-222-2-2-22-20000000000000000222222222-2-2200000000-2-2-2-222220000-22-22-2-2-2-200000000000022-2-222-2-2-22002200000000000000-2-20000-22-222-22-2000000000000000000000000
χ4822222222-2-222-2-222-222-2-2-22-20000000000000000222222222-2-2200000000-2-2-2-2-2-2-2-20000-22-222222000000000000-2-222-2-222-2200-2-200000000000000220000-22-22-22-22000000000000000000000000
χ4922222222-2-222-2-222-222-2-2-22-20000000000000000-2-2-2-2-2-2-2-22-22-2000000002222000022222-22-20000-2-2-2-2-2-222-2-222000000002-2-2-20000000000000022000000-22-2200002-22-200000000000000000000
χ5022222222-2-222-2-222-222-2-2-22-20000000000000000-2-2-2-2-2-2-2-22-22-20000000022220000-2-2-2-22-22-20000222222-2-222-2-2000000002-22200000000000000-2-2000000-22-220000-22-2200000000000000000000
χ5122222222-2-222-2-222-222-2-2-22-20000000000000000-2-2-2-2-2-2-2-22-2-2200000000222222220000-22-22-2-2-2-2000000000000-2-222-2-222-2200-2-2000000000000002200002-22-22-22-2000000000000000000000000
χ5222222222-2-222-2-222-222-2-2-22-20000000000000000-2-2-2-2-2-2-2-22-2-22000000002222-2-2-2-20000-22-22222200000000000022-2-222-2-2-22002200000000000000-2-200002-22-2-22-22000000000000000000000000
χ5322222222-2-222-2-222-2-2-222-2-22000000002222222200000000-222-20000-2-2-2-20000000022222-2-220000-2-2-2-200000000-2-222-2-222-22002200000000000000-2-22-22-200000000-22-2200000000000000000000
χ5422222222-2-222-2-222-2-2-222-2-22000000002222222200000000-222-20000-2-2-2-200000000-2-2-2-22-2-22000022220000000022-2-222-2-2-2200-2-200000000000000222-22-2000000002-22-200000000000000000000
χ5522222222-2-222-2-222-2-2-222-2-22000000002222222200000000-22-220000-2-2-2-2000022220000-222-2-2-2-2-20000-2-222-2-222000000002-22200000000000000-2-200-22-220000-22-22000000000000000000000000
χ5622222222-2-222-2-222-2-2-222-2-22000000002222222200000000-22-220000-2-2-2-20000-2-2-2-20000-222-22222000022-2-222-2-2000000002-2-2-2000000000000002200-22-2200002-22-2000000000000000000000000
χ5722222222-2-222-2-222-2-2-222-2-2200000000-2-2-2-2-2-2-2-200000000-222-2000022220000000022222-2-220000-2-2-2-20000000022-2-222-2-2-2200-2-20000000000000022-22-2200000000-22-2200000000000000000000
χ5822222222-2-222-2-222-2-2-222-2-2200000000-2-2-2-2-2-2-2-200000000-222-20000222200000000-2-2-2-22-2-220000222200000000-2-222-2-222-22002200000000000000-2-2-22-22000000002-22-200000000000000000000
χ5922222222-2-222-2-222-2-2-222-2-2200000000-2-2-2-2-2-2-2-200000000-22-2200002222000022220000-222-2-2-2-2-2000022-2-222-2-2000000002-2-2-20000000000000022002-22-20000-22-22000000000000000000000000
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Here i is the imaginary unit (i² = −1).